Given a sequence (xn) and a real number L , prove or give a counterexample for the following statement: (xn) converges to L if and only if (|xn − L|) converges to 0
Given a sequence (xn) and a real number L , prove or give a counterexample for the following statement: (xn) converges to L if and only if (|xn − L|) converges to 0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 55E
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Given a sequence (xn) and a real number L , prove or give a counterexample for the following statement:
(xn) converges to L if and only if (|xn − L|) converges to 0
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